GCD of 296, 406, 468, 768 Calculator

Given Input numbers are 296, 406, 468, 768

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 296, 406, 468, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 406, 468, 768 is 2.

Therefore, GCD of numbers 296, 406, 468, 768 is 2

Given Input Data is 296, 406, 468, 768

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(296, 406) = 60088

GCD(296, 406) = ( 296 x 406 ) / 60088

GCD(296, 406) = 120176 / 60088

GCD(296, 406) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 468

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

GCD(2, 468) = 936 / 468

GCD(2, 468) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 768

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

GCD(2, 768) = 1536 / 768

GCD(2, 768) = 2

GCD of 296, 406, 468, 768 is 2

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1. What is the GCD of 296, 406, 468, 768?

GCD of 296, 406, 468, 768 is 2

2. Where do I get the detailed procedure to find GCD of 296, 406, 468, 768?

You can find a detailed procedure to find GCD of 296, 406, 468, 768 on our page.

3. How to find GCD of 296, 406, 468, 768 on a calculator?

You can find the GCD of 296, 406, 468, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.